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Finding the Fourth Proportional to 400,148.16, 552,143.16 and 230,349.48

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Solution

The fourth proportional to 400,148.16, 552,143.16 and 230,349.48 is: 317,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,148.16 : 552,143.16 = 230,349.48 : x
  2. Step 2: Convert to fraction form
    400,148.16/552,143.16 = 230,349.48/x
  3. Step 3: Cross multiply
    400,148.16x = 552,143.16 × 230,349.48
  4. Step 4: Simplify right side
    400,148.16x = 127,185,889,791.56
  5. Step 5: Solve for x
    x = 127,185,889,791.56/400,148.16
  6. Step 6: Final answer
    x = 317,846.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.